# What is the standard form of a polynomial (4x^2+2x+5)+(7x^2-5x+2)?

The standard form would be $11 {x}^{2} - 3 x + 7$.
$\left(4 {x}^{2} + 2 x + 5\right) + \left(7 {x}^{2} - 5 x + 2\right)$
$= \left(4 + 7\right) {x}^{2} + \left(2 - 5\right) x + \left(5 + 2\right)$
$= 11 {x}^{2} - 3 x + 7$